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Properties of operator systems, corresponding to channels

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Abstract

It was shown in Duan (Super-activation of zero-error capacity of noisy quantum channels, 2009. arXiv:0906.2527), that in finite-dimensional Hilbert spaces each operator system corresponds to some channel, for which this operator system will be an operator graph. This work is devoted to finding necessary and sufficient conditions for this property to hold in infinite-dimensional case.

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Acknowledgements

I am grateful to G.G.Amosov for useful discussion and comments. The work is supported by Russian Science Foundation under the Grant No. 19-11-00086 and performed in Steklov Mathematical Institute of Russian Academy of Sciences.

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  1. Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkina St., Moscow, Russia, 119991

    V. I. Yashin

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The work is supported by Russian Science Foundation under the Grant No. 19-11-00086.

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Yashin, V.I. Properties of operator systems, corresponding to channels. Quantum Inf Process 19, 195 (2020). https://doi.org/10.1007/s11128-020-02693-7

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